Angle calculator - result
The Angle Calculator allows conversions of the angles entered in degrees, minutes, and seconds to the decimal number, radians back and forth. It is also possible to evaluate simple numerical operations - an addition of angles, subtracting angles, angle normalization to interval <0,360°> or <-180°,180°>, etc. Degrees (°), minutes ('), seconds (") to decimal degrees angle converter and back. Enter the angle in degrees, minutes, and seconds, and press the Convert button. Angle units - do not mix with time seconds, minutes, or temperature degrees Celsius or °F.Result:
5 rad + 45°50' = 332.31223089874° = 332°18'44″ = 5.79994 rad = 2083930/6271 π rad = 369.23581 grad = 0.92309 turns
Normalized angle at interval (-180; 180> :
5 rad + 45°50' = -27.687769101255° = -27°41'16″ = -0.48324 rad = -758811/27406 π rad = -30.76419 grad = -0.07691 turns
Basic knowledge of angle units
The basic definition is that the full angle is 1 rotation (one turn) = 360° (degrees) = 2π radians = 400 grads (gons). One degree is 60 minutes and one angle minute is 60 seconds.see Plane angle - wiki
Practice problems:
60°15'45" pi/2 55.5 5 min + 16 min 3/2 pi 60° + 45" -12' pi/2 + 60° 5 rad + 45°50' 3 * 12pi pi/2 - pi/3 -pi/2 3*360 60°15'45" - 15'
Angle word problems:
- Angles 1
Is it true that adjacent angles have common arm? - Reference angle
Find the reference angle of each angle: - Obtuse angle
Which obtuse angle is creating clocks at 17:00? - O'clock 78004
What is the degree angle made by the hands of a clock when it points to 8 o'clock? - Neighbor angle
For 136° angle, calculate the size of the adjacent angle on one side of a straight line. - Degrees to radians
Convert magnitude of the angle α = 502°47'25" to radians: - Know one angle
In a right-angled triangle, the measure of an angle is 40°. Find the measure of other angles of the triangle in degrees. - Degrees Fahrenheit
What is the current temperature if the temperature is 12 degrees Fahrenheit and changes by -26 degrees Fahrenheit? - Rhombus angles
If one angle in the rhombus is 137.6°, what is its neighboring angle in the rhombus? - Parallelogram
In the parallelogram, we know one internal angle of 67°33`. Calculate the other internal angles. - Similarity coefficient
The triangles ABC and A'B'C' are similar to the similarity coefficient 2. The sizes of the angles of the triangle ABC are α = 35° and β = 48°. Find the magnitudes of all angles of triangle A'B'C'. - In triangle
In triangle ABC, the magnitude of the internal angle gamma is equal to one-third of the angle alpha. The size of the angle beta is 80 degrees larger than the size of the gamma angle. Calculate the magnitudes of the interior angles of the triangle ABC. - The sum 11
The sum of the measures of the two angles is 89°. One angle has a measure of 64°. What is the measure in degrees of the second angle? - Cis notation
Evaluate multiplication of two complex numbers in cis notation: (6 cis 120°)(4 cis 30°) Write the result in cis and Re-Im notation. - Isosceles 64774
The figure shows an isosceles trapezoid CDEF. The size of the angle α is 73 degrees. Calculate the magnitude of the angle β in degrees.
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